Pith Number

pith:UPBPIAIW

pith:2005:UPBPIAIW3MISO42QPYMQVMHIIH

not attested not anchored not stored refs pending

Approximating multi-dimensional Hamiltonian flows by billiards

A. Rapoport, D. Turaev, V. Rom-Kedar

arxiv:nlin/0511071 v1 · 2005-11-30 · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPBPIAIW3MISO42QPYMQVMHIIH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:18:57.289213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c2f40116db112773507e190ab0e841d85aabed2a72db23f1b1ce433edc98f2

Aliases

arxiv: nlin/0511071 · arxiv_version: nlin/0511071v1 · doi: 10.48550/arxiv.nlin/0511071 · pith_short_12: UPBPIAIW3MIS · pith_short_16: UPBPIAIW3MISO42Q · pith_short_8: UPBPIAIW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UPBPIAIW3MISO42QPYMQVMHIIH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a3c2f40116db112773507e190ab0e841d85aabed2a72db23f1b1ce433edc98f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9f4dce2a6fbb2765272ef896c1cc766ed2b269485e68ede21e485cabbe6d12e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2005-11-30T17:59:02Z",
    "title_canon_sha256": "069c5f8e2ae158151e017fe2d6b67e338bb080894be273284e9fae57ef62c98b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0511071",
    "kind": "arxiv",
    "version": 1
  }
}